390484878912 has 168 divisors, whose sum is σ = 1153993486776. Its totient is φ = 126149197824.

The previous prime is 390484878871. The next prime is 390484878919. The reversal of 390484878912 is 219878484093.

390484878912 is a `hidden beast` number, since 39 + 0 + 48 + 487 + 89 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 369304151616 + 21180727296 = 607704^2 + 145536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 390484878912.

It is not an unprimeable number, because it can be changed into a prime (390484878919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5441538 + ... + 5512830.

Almost surely, 2^390484878912 is an apocalyptic number.

390484878912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390484878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576996743388).

390484878912 is an abundant number, since it is smaller than the sum of its proper divisors (763508607864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

390484878912 is a wasteful number, since it uses less digits than its factorization.

390484878912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71605 (or 71592 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 390484878912 in words is "three hundred ninety billion, four hundred eighty-four million, eight hundred seventy-eight thousand, nine hundred twelve".